The altitude of a right square prism is of length 12 and its base has a side of length 8. What is the lateral surface area of this prism? A. 484 units²
B. 48 units²
C. 192 units²
D. 384 units²

D. 384 units²

Step-by-step explanation:

Hey there!

Well a right square prism's bases are squares meaning the area of the base is 64 units².

Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.

Now we only have 4 sides to find the area of,

h = 12

l/w = 8

A = (12*8) * 4

A = 96 * 4

LSA = 384 units²

Hope this helps :)

D. 384 units^2

Step-by-step explanation:

LSA is perimeter multiplied by the height

= 4*a*h

= 4*8*12

= 384 unit^2

Answer is D.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2